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Finding the Fourth Proportional to 99,306.59, 148,913.06 and 36,082.13

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Solution

The fourth proportional to 99,306.59, 148,913.06 and 36,082.13 is: 54,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,306.59 : 148,913.06 = 36,082.13 : x
  2. Step 2: Convert to fraction form
    99,306.59/148,913.06 = 36,082.13/x
  3. Step 3: Cross multiply
    99,306.59x = 148,913.06 × 36,082.13
  4. Step 4: Simplify right side
    99,306.59x = 5,373,099,464.64
  5. Step 5: Solve for x
    x = 5,373,099,464.64/99,306.59
  6. Step 6: Final answer
    x = 54,106.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.